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Finding the Fourth Proportional to 40,920, 56,469.66 and 24,153

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Solution

The fourth proportional to 40,920, 56,469.66 and 24,153 is: 33,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,920 : 56,469.66 = 24,153 : x
  2. Step 2: Convert to fraction form
    40,920/56,469.66 = 24,153/x
  3. Step 3: Cross multiply
    40,920x = 56,469.66 × 24,153
  4. Step 4: Simplify right side
    40,920x = 1,363,911,697.98
  5. Step 5: Solve for x
    x = 1,363,911,697.98/40,920
  6. Step 6: Final answer
    x = 33,331.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.